Perturbations of polaroid type operators on Banach spaces and applications (Noncommutative structure in operator theory and its application)

Abstract:

A bounded linear operator defined on a Banach space is said to be polaroid if every isolated point of the spectrum is a pole of the resolvent. The “polaroid “condition is related to the conditions of being left or right polaroid. In these paper we explore these conditions, and the condition of being a-polaroid, under perturbations. Moreover, we present a general framework which allows to us to obtain, and also to extend, recent results concerning Weyl type theorems (generalized or not) for , where is algebraic.

Año de publicación:

2011

Keywords:

Fuente:

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